857 resultados para School mathematics


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This paper focuses on the ‘real world’ approach to the degree achieved through the first year program, embedding and scaffolding law graduate capabilities through authentic and valid assessment and work integrated learning to assist graduates with transition into the workplace.

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Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are attracting more and more attention from researchers. The current dominant numerical method for modeling FPDE is Finite Difference Method (FDM), which is based on a pre-defined grid leading to inherited issues or shortcomings including difficulty in simulation of problems with the complex problem domain and in using irregularly distributed nodes. Because of its distinguished advantages, the meshless method has good potential in simulation of FPDEs. This paper aims to develop an implicit meshless collocation technique for FPDE. The discrete system of FPDEs is obtained by using the meshless shape functions and the meshless collocation formulation. The stability and convergence of this meshless approach are investigated theoretically and numerically. The numerical examples with regular and irregular nodal distributions are used to validate and investigate accuracy and efficiency of the newly developed meshless formulation. It is concluded that the present meshless formulation is very effective for the modeling and simulation of fractional partial differential equations.

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This paper formulates a node-based smoothed conforming point interpolation method (NS-CPIM) for solid mechanics. In the proposed NS-CPIM, the higher order conforming PIM shape functions (CPIM) have been constructed to produce a continuous and piecewise quadratic displacement field over the whole problem domain, whereby the smoothed strain field was obtained through smoothing operation over each smoothing domain associated with domain nodes. The smoothed Galerkin weak form was then developed to create the discretized system equations. Numerical studies have demonstrated the following good properties: NS-CPIM (1) can pass both standard and quadratic patch test; (2) provides an upper bound of strain energy; (3) avoid the volumetric locking; (4) provides the higher accuracy than those in the node-based smoothed schemes of the original PIMs.

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When seeking help and support about being bullied, children and young people weigh up the benefits and risks of talking to their friends, parents, teachers and counsellors about their experiences. The focus of this paper are calls to an Australian helpline for children and young people where the strategy of “talking to the teacher” is discussed by callers and counsellors as a possible way of dealing with the caller’s bullying situation at school. Transcribed and analysed data extracts of calls show how the young callers’ bullying experiences are being heard by the counsellor, and also reveals the skill of the counsellors in managing these calls within the philosophy and guidelines of the service.

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Supporting students with Autism Spectrum Disorders (ASD) in inclusive settings presents both opportunities and significant challenges to school communities. This study, which explored the lived-experience of nine students with ASD in an inclusive high school in Australia, is based on the belief that by listening to the voices of students, school communities will be in a better position to collaboratively create supportive learning and social environments. The findings of this small-scale study deepen our knowledge from the student perspective of the inclusive educational practices that facilitate and constrain the learning and participation of students with ASD. The students’ perspectives were examined in relation to the characteristics of successful inclusive schools identified by Kluth. Implications for inclusive educational practice that meets the needs of students with ASD are presented.

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Natural convection of a two-dimensional laminar steady-state incompressible fluid flow in a modified rectangular enclosure with sinusoidal corrugated top surface has been investigated numerically. The present study has been carried out for different corrugation frequencies on the top surface as well as aspect ratios of the enclosure in order to observe the change in hydrodynamic and thermal behavior with constant corrugation amplitude. A constant flux heat source is flush mounted on the top sinusoidal wall, modeling a wavy sheet shaded room exposed to sunlight. The flat bottom surface is considered as adiabatic, while the both vertical side walls are maintained at the constant ambient temperature. The fluid considered inside the enclosure is air having Prandtl number of 0.71. The numerical scheme is based on the finite element method adapted to triangular non-uniform mesh element by a non-linear parametric solution algorithm. The results in terms of isotherms, streamlines and average Nusselt numbers are obtained for the Rayleigh number ranging from 10^3 to 10^6 with constant physical properties for the fluid medium considered. It is found that the convective phenomena are greatly influenced by the presence of the corrugation and variation of aspect ratios.

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"ORIGO Stepping Stones gives mathematics teachers the best of both worlds by delivering lessons and teacher guides on a digital platform blended with the more traditional printed student journals." -- Publisher website

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There appears no shortage of theorists for preservice teacher education; however many ideas are abandoned without practical applications. Indeed, it can take years for theories to materialise into practice, if they materialise at all. The quality of preservice teacher education is central for enhancing an education system, and mentors’ roles can assist to shape preservice teachers’ development within the school context. Yet mentoring can be haphazard without being underpinned by a theoretical framework. A mentoring model (personal attributes, system requirements, pedagogical knowledge, modelling, and feedback) has emerged from research and the literature to guide mentors’ practices. This qualitative study investigates mentors’ pedagogical knowledge as one factor crucial to the mentoring process. More specifically, this study involves a questionnaire and audio-recorded focus group meetings with experienced mentors (n=14) who deliberated on devising practical applications for mentoring pedagogical knowledge. Findings revealed that these experienced mentors pinpointed practical applications around a mentor’s role for providing pedagogical knowledge to the mentee. These strategies were varied and demonstrated that any one mentoring practice may be approached from a number of different angles. Nevertheless, there were core mentoring practices in pedagogical knowledge such as showing the mentee how to plan for teaching, articulating classroom management approaches, and talking about how to connect learning to assessment. Mentors may require education on current mentoring practices with practical strategies that are linked to theoretical underpinnings.

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Change is a regular part of school life. Educational innovations are constantly being implements in order to benefit students, improve outcomes and meet the obligations and accountability demands of governments. Rapid social and technological change has occurred within and around schools during the past 15 or more years, impacting upon curricula and pedagogies. Simultaneously, there has been a trend towards incorporating youth voice, where young people share in the decisions that will impact on their school experiences (Mitra, 2008a, 2004). Most recently, with the advent of the first National Australian Curriculum (McGaw, 2010), there is an imposed curriculum change, which reflects the growing global trend towards centralised control over what students learn in school (Zhao, 2011) and highlights that schools have to respond to change from all levels. Spears (in press) also notes that parents are raising children in an increasingly wireless world which is far removed from the one in which they were raised. Educators are teaching in schools that are vastly different technologically from those they knew as children and adolescents, or even those in which they were teaching a decade ago. Children born in 1995, the year when the Internet was first commercialised, are 16 years old in 2011 and, whilst parents may have embraced technological advances in their own adult working or social lives, they are yet to fathom fully what it means for their children and their relationships: to be educated and to socialise in the midst of mobile social media. Young people have greater access to more information than at any time past and move seamlessly between online and offline environments, often referring to them as ‘the same life’ (Spears, Kofoed, Bartolo, Palermiti and Castabile, in press). Along with these changes has come the transformation of traditional forms of bullying to cyberbullying, amid the public perception that bullying generally is becoming worse in schools.

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The recent exponential rise in the number of behaviour disorders has been the focus of a wide range of commentaries, ranging from the pedagogic and the administrative, to the sociological, and even the legal. This book will be the first to apply, in a systematic and thorough manner, the ideas of the foundational discipline of philosophy. A number of philosophical tools are applied here, tools arising through the medium of the traditional philosophical debates, such as those concerning governance, truth, logic, ethics, free-will, law and language. Each forms a separate chapter, but together they constitute a comprehensive, rigorous and original insight into what is now an important set of concerns for all those interested in the governance of children. The intention is threefold: first, to demonstrate the utility, accessibility and effectiveness of philosophical ideas within this important academic area. Philosophy does not have to be regarded an arcane and esoteric discipline, with only limited contemporary application, far from it. Second, the book offers a new set of approaches and ideas for both researchers and practitioners within education, a field is in danger of continually using the same ideas, to endlessly repeat the same conclusions. Third, the book offers a viable alternative to the dominant psychological model which increasingly employs pathology as its central rationale for conduct. The book would not only be of interest to mainstream educators, and to those students and academics interested in philosophy, and more specifically, the application of philosophical ideas to educational issues, it would also be an appropriate text for courses on education and difference, and due to the breadth of the philosophical issues addressed, courses on applied philosophy.

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Introducing engineering-based model-eliciting experiences in the elementary curriculum is a new and increasingly important domain of research by mathematics, science, technology, and engineering educators. Recent research has raised questions about the context of engineering problems that are meaningful, engaging, and inspiring for young students. In the present study an environmental engineering activity was implemented in two classes of 11-year-old students in Cyprus. The problem required students to develop a procedure for selecting among alternative countries from which to buy water. Students created a range of models that adequately solved the problem although not all models took into account all of the data provided. The models varied in the number of problem factors taken into consideration and also in the different approaches adopted in dealing with the problem factors. At least two groups of students integrated into their models the environmental aspect of the problem (energy consumption, water pollution) and further refined their models. Results indicate that engineering model-eliciting activities can be introduced effectively into the elementary curriculum, providing rich opportunities for students to deal with engineering contexts and to apply their learning in mathematics and science to solving real-world engineering problems.

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The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by “continuing education as usual” (The National Academies, 2009). With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualization. These technologies have led to significant changes in the forms of mathematical thinking that are required beyond the classroom. This paper argues for the need to incorporate future-oriented understandings and competencies within the mathematics curriculum, through intellectually stimulating activities that draw upon multidisciplinary content and contexts. The paper also argues for greater recognition of children’s learning potential, as increasingly complex learners capable of dealing with cognitively demanding tasks.

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Sustainable living is high on the international agenda (Ginsberg & Frame, 2004; Sutton, 2004). If education is fundamental to global transformation towards sustainability, then schools are in strategic positions to facilitate this change. Over recent years, schools in Australia have become more active in encouraging sustainability with the implementation of programs such as Science Education for Sustainable Living (SESL) that focus on topics such as energy efficiency, recycling, enhancing biodiversity, protecting species, and managing resources. This paper reports on a government funded Australian School Innovation in Science, Technology and Mathematics (ASISTM) project titled “Integrating science, technology and mathematics for understanding sustainable living” in which teachers, preservice teachers and other science professionals worked collaboratively to plan and enact a range of SESL programs for primary school students. Participants in this study included: 6 teachers, 5 preservice teachers, 2 university partners, 2 scientists, 4 consultants, and over 250 primary students. The findings from this qualitative study revealed a need for: (1) professional development for understanding SESL, (2) procedures for establishing and implementing SESL, and (3) strategies to devise, implement and evaluate SESL units of work.

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A new scaling analysis has been performed for the unsteady natural convection boundary layer under a downward facing inclined plate with uniform heat flux. The development of the thermal or viscous boundary layers may be classified into three distinct stages including a start-up stage, a transitional stage and a steady stage, which can be clearly identified in the analytical as well as numerical results. Earlier scaling shows that the existing scaling laws of the boundary layer thickness, velocity and steady state time scale for the natural convection flow on a heated plate of uniform heat flux provide a very poor prediction of the Prandtl number dependency of the flow. However, those scalings performed very well with Rayleigh number and aspect ratio dependency. In this study, a new Prandtl number scaling has been developed using a triple-layer integral approach for Pr > 1. It is seen that in comparison to the direct numerical simulations, the new scaling performs considerably better than the previous scaling.